Answer: 131.3312
Step-by-step explanation:
63.14 * 2.08 = 131.3312
Answer: (4, 8)
Step-by-step explanation:
(4,8)
Answer:
68.4 meters shorter
Step-by-step explanation:
ok so you want to compare the distance 80 m + 270 m with the diagonal length.
the diagonal length = root ( 80^2 + 270^2 )
diagonal length = root(6400 + 72900)
diagonal = root(79300) =281.602 m
so.
350 - 281.602 = 68.397 meters about 68.4 meters shorter than walking around
This problem can be solved from first principles, case by case. However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.
Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected
Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}
Therefore the
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}
